Question

The duplicate ratio of $2\sqrt{2}:3\sqrt{5}$ is _____

• A. $8:45$
• B. $16:250$
• C. $4:15$
• D. $16:45$

Answer 1

Answer: (A)

$8:45$

The duplicate ratio of $a:b$ is $a^2:b^2$
$\therefore$ The duplicate ratio of $2\sqrt{2}:3\sqrt{5}$ is $(2\sqrt{2}{)}^2:(3\sqrt{5}{)}^2=8:45$